Fond as we are of Euclid, the guy had too much time on his hands to come up with all those theorems and postulates and corollaries to the theorems.

Does anyone actually know all of them, right off the top of their heads? Probably, but why take up valuable brain real estate when you can check out the Math Seminar 2 wiki and look up the one that fits the situation?

On the ensuing pages you'll find all kinds of Geometry goodies, including some neat sketches we have made in GSP. Have a look around, and enjoy!